In this paper we show that a 1-convex (i.e., strongly pseudoconvex) manifold X, with 1-
dimensional exceptional set S and finitely generated second homology group H2(X,ℤ), is embeddable in ℂm×ℂℙn if and only if X is
Kähler, and this case occurs only when S does not contain any effective curve which is
a boundary.